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Trick to solve profit and loss questions
« on: March 11, 2014, 10:15:20 PM »
In case where the selling price of two articles is the same and one is sold at a loss of X% and another is sold at a profit of X% then this will always leads to a loss of X^2/100 %

A shopkeeper sells two books at the same price. If he sells one book at a profit of 30% and another book at a loss of 30%, find the profit or loss percentage
 

 A.9% profit
 B.9% loss
 C.No profit no loss
 D.cannot be determined

Answer: (30)^2/100 %
900/100 %
9% loss


Logic: First articles is sold @30% profit that is 130/-. Therefore the SP will be 130 /-.

Now since both articles are sold at a same price, the SP of another articles will be 130/-.

Now another articles will be sold @ 30% loss that is Rs.39 that is at  Rs.91.

Therefore the loss is 100-91 = 9
                                = 9/100 = 9%


Note:


1) Both Percentage should be same to solve this problem
2) One must be sold at a profit and another at a loss. (order does not matter)
3) It always lead to loss only

WHY?


Suppose the SP is 100
First sold at a profit of 10% and then loss at a loss of 10% then it will result in final price of


100+10% of 100 = 110
110 - 10% of 110= 99
So final loss would be 100-99 = 1

Now. change the order and first sold at loss and then sold at profit that is

100-10% of 100= 90
90 + 10% of 90 = 99
so final loss would be 1

So there would be loss in both case...l

Techshristi's Forum

Trick to solve profit and loss questions
« on: March 11, 2014, 10:15:20 PM »

 
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